A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations
In this paper we define the sequence spaces Sℓ∞(p), Sc(p) and Sc0(p) and determine the Köthe-Toeplitz duals of Sℓ∞(p). We also obtain necessary and sufficient conditions for a matrix A to map Sℓ∞(p) to ℓ∞ and investigate some related problems.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000871 |
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| author | B. Choudhary S. K. Mishra |
| author_facet | B. Choudhary S. K. Mishra |
| author_sort | B. Choudhary |
| collection | DOAJ |
| description | In this paper we define the sequence spaces Sℓ∞(p), Sc(p) and Sc0(p) and determine
the Köthe-Toeplitz duals of Sℓ∞(p). We also obtain necessary and sufficient conditions for a matrix
A to map Sℓ∞(p) to ℓ∞ and investigate some related problems. |
| format | Article |
| id | doaj-art-914cef42e90c4f209f42edab425c2896 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-914cef42e90c4f209f42edab425c28962025-02-03T05:45:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118468168810.1155/S0161171295000871A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformationsB. Choudhary0S. K. Mishra1Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi 110016, IndiaDepartment of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi 110016, IndiaIn this paper we define the sequence spaces Sℓ∞(p), Sc(p) and Sc0(p) and determine the Köthe-Toeplitz duals of Sℓ∞(p). We also obtain necessary and sufficient conditions for a matrix A to map Sℓ∞(p) to ℓ∞ and investigate some related problems.http://dx.doi.org/10.1155/S0161171295000871sequence spacesKöthe-Toeplitz dualsmatrix transformations. |
| spellingShingle | B. Choudhary S. K. Mishra A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations International Journal of Mathematics and Mathematical Sciences sequence spaces Köthe-Toeplitz duals matrix transformations. |
| title | A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations |
| title_full | A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations |
| title_fullStr | A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations |
| title_full_unstemmed | A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations |
| title_short | A note on Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations |
| title_sort | note on kothe toeplitz duals of certain sequence spaces and their matrix transformations |
| topic | sequence spaces Köthe-Toeplitz duals matrix transformations. |
| url | http://dx.doi.org/10.1155/S0161171295000871 |
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